Parents pay Tyler $0.75 for laundry and $2.00 to mow the lawn in one month he does the laundry 5 more times than he mows the lawn if his parents pay him $17.50 that month how many times did he mow the lawn ?

Respuesta :

Answer: He mowed the lawn 5 times.

Step-by-step explanation:

Amount that Tyler receives receives for laundry in one month is $0.75

Amount that Tyler receives receives for mowing the lawn in one month is $2.00

Let x = the number of times that he does laundry in a month.

Let y = the number of times that he mows the lawn in a month.

He does the laundry 5 more times than he mows the lawn, this means

x = y + 5

In that month, the parents paid him $17.50.

Therefore,

0.75x + 2y = 17.50 - - - - - - - 1

Substituting x = y + 5 into equation 1

0.75(y+5) + 2y = 17.50

0.75y + 3.75 + 2y = 17.5

0.75y + 2y = 17.5 - 3.75

2.75y = 13.75

y = 13.75/2.75 = 5

x = y + 5 = 5 + 5 = 10

He mowed the lawn 5 times.

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